Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 390, 573, 775, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 390, 573, 775, 707 is 1
GCD(390, 573, 775, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 390, 573, 775, 707 is 1
GCD(390, 573, 775, 707) = 1
Given Input numbers are 390, 573, 775, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 390, 573, 775, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 390, 573, 775, 707 is 1.
Therefore, GCD of numbers 390, 573, 775, 707 is 1
Given Input Data is 390, 573, 775, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 390 is 2 x 3 x 5 x 13
Prime Factorization of 573 is 3 x 191
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 707 is 7 x 101
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(390, 573) = 74490
GCD(390, 573) = ( 390 x 573 ) / 74490
GCD(390, 573) = 223470 / 74490
GCD(390, 573) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 775) = 2325
GCD(3, 775) = ( 3 x 775 ) / 2325
GCD(3, 775) = 2325 / 2325
GCD(3, 775) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 390, 573, 775, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 390, 573, 775, 707?
GCD of 390, 573, 775, 707 is 1
2. Where do I get the detailed procedure to find GCD of 390, 573, 775, 707?
You can find a detailed procedure to find GCD of 390, 573, 775, 707 on our page.
3. How to find GCD of 390, 573, 775, 707 on a calculator?
You can find the GCD of 390, 573, 775, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.